Some coincidence theorems in wedges, cones, and convex sets

DOI10.1016/0022-247X(85)90053-8zbMath0576.34018MaRDI QIDQ1065228

Jairo Santanilla

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schauder fixed point theoremCoincidence degreecompression theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (23)

Multiple eigenvalues for singular Hammerstein integral equations with applications to boundary value problems ⋮ Multiple positive solutions of Hammerstein integral equations and applications to periodic boundary value problems ⋮ Positive solutions of Neumann boundary value problems and applications to logistic type population models ⋮ Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary differential equations ⋮ Repelling conditions for boundary sets using Lyapunov-like functions. II: Persistence and periodic solutions ⋮ An existence theorem for periodic solutions in convex sets with applications ⋮ Fixed points and solutions of boundary value problems at resonance ⋮ Positive solutions of fractional differential inclusions at resonance ⋮ Positive solutions of fractional differential equations at resonance on the half-line ⋮ Positive solutions of third-order nonlocal boundary value problems at resonance ⋮ Existence of Nonnegative Solutions of a Semilinear Equation at Resonance with Linear Growth ⋮ Attainability to solve fractional differential inclusion on the half line at resonance ⋮ An order-type existence theorem and applications to periodic problems ⋮ Existence of positive solutions for a kind of periodic boundary value problem at resonance ⋮ Positive Solutions for a Nonlocal Resonant Problem of First Order ⋮ Bounded solutions in a given set of differential systems ⋮ Second order nonlocal boundary value problems at resonance ⋮ Positive solutions of multi-point boundary value problems at resonance ⋮ Leggett--Williams theorems for coincidences of multivalued operators ⋮ Periodic solutions in a given set of differential systems ⋮ Multiple positive eigenfunctions of singular Hammerstein integral equations with applications to boundary value problems ⋮ Positive solutions of multi-point boundary value problems with multivalued operators at resonance ⋮ Existence of monotone or positive solutions of singular second-order sublinear differential equations

Cites Work

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• Fixed point techniques in a cone with applications
• A fixed point theorem with application to an infectious disease model
• A periodicity threshold theorem for epidemics and population growth
• On periodic solutions of a delay integral equation modelling epidemics
• A coincidence theorem in convex sets with applications to periodic solutions of ordinary differential equations
• Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations
• Rothe and altman type coincidence theorems and applications to differential equations
• A Periodicity Threshold Theorem for Some Nonlinear Integral Equations

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